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Finding the Fourth Proportional to 4,047.12, 5,586.12 and 2,368.80

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Solution

The fourth proportional to 4,047.12, 5,586.12 and 2,368.80 is: 3,269.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,047.12 : 5,586.12 = 2,368.80 : x
  2. Step 2: Convert to fraction form
    4,047.12/5,586.12 = 2,368.80/x
  3. Step 3: Cross multiply
    4,047.12x = 5,586.12 × 2,368.80
  4. Step 4: Simplify right side
    4,047.12x = 13,232,401.06
  5. Step 5: Solve for x
    x = 13,232,401.06/4,047.12
  6. Step 6: Final answer
    x = 3,269.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.